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Let's assume a player has very bad luck (as in, most attack rolls result in failures, with a bad record of 1s' showing up at the worst moments).

The worst rolls are the binary rolls, i.e. the rolls that either fail or save (e.g. attack roll, saving throws).

What are the classes that are the least reliant on the player's dice rolls for binary (succeed or fail) effects?

Note: One example would be the fireball-hurling wizard: While the player would need to launch d6 damage, and the targets need to roll a saving throw, the fireball itself always succeeds, and the damage is always a lot of dices, minimizing the impact of a 1.

Thanks,